From 6bf4b90c90f15f4ab60833bddf5b5756d1a6b1f6 Mon Sep 17 00:00:00 2001 From: Elizabeth Alexander Hunt Date: Thu, 2 Jul 2026 11:55:17 -0700 Subject: Init --- Homework/math4610/notes/Oct-27.org | 26 ++++++++++++++++++++++++++ 1 file changed, 26 insertions(+) create mode 100644 Homework/math4610/notes/Oct-27.org (limited to 'Homework/math4610/notes/Oct-27.org') diff --git a/Homework/math4610/notes/Oct-27.org b/Homework/math4610/notes/Oct-27.org new file mode 100644 index 0000000..6d23576 --- /dev/null +++ b/Homework/math4610/notes/Oct-27.org @@ -0,0 +1,26 @@ +Use a bisection criterion for a start + +Hybrid Method: combine Bisection and Higher Order Method: +- Newton's Method +- Secant Method (Newton's method with secant approx.) + + +#+BEGIN_SRC c +fa = f(a) +fb = f(b) +if (fa * fb >= 0) return + +error = 10 * tol +iter = 0 + +while (error > tol && iter < maxiter) { +x0 = 0.5 * (a + b) +x1 = x0 - f(x0) / f'(x0) +if (abs(x1 - x0) > 0.5 * (b - a)) { +// do bisection +} else{ +// do newton's method +} +} +#+END_SRC + -- cgit v1.3